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3 years ago

(1. - 2.9), (3, - 1.9), (3, 3), (1, 2)

Mathematics

1 answer:

bezimeni [28]3 years ago

5 0

In my opinion i think it’s D.parallelogram

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Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra

Dovator [93]

Circumference of a circle is C = 2πr.

part 1)

so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.

what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?

$\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
r=7
\end{cases}\implies 6\pi =7\theta \implies \cfrac{6\pi }{7}=\theta$

part 2)

since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.

now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?

$\bf \begin{array}{ccll}
arc&revolution\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6\pi &1\\
14\pi &x
\end{array}\implies \cfrac{6\pi }{14\pi }=\cfrac{1}{x}\implies \cfrac{3}{7}=\cfrac{1}{x}\implies x=\cfrac{7}{3}$

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3 years ago

3x+6y=24 can someone help me ehat this

Sladkaya [172]

The answer is y=-1/2x+4 that is if you are finding y. But if you are finding x it is x=-2y+8.

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2 years ago

Find the area of the shaded region. Round your answer to the nearest tenth.

Anestetic [448]

Answer: 2.5 or 2 1/2.

Step-by-step explanation:

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2 years ago

Find the x intercept and the y intercept of the graph of the equation <br> 2x+4y=8

maksim [4K]

Answer:

x-intercept: 4

y-intercept: 2

Step-by-step explanation:

finding the x-intercept:

first, substitute y = 0.

2x + 4 x 0 = 8

then, remove the 0.

2x + 0 = 8

then, divide both sides. 2x = 8

so, x = 4.

finding the y-intercept:

first, substitute x = 0.

then, solve.

2 x 0 + 4y = 8

so, y = 2.

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3 years ago

pedro goes to the gym every eight days but tennis is every twelve days if today is september 27 when will he do both again

Svetach [21]

October 21st, 24 days later

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3 years ago